Free and forced wave motion in a two-dimensional plate with radial periodicity
Autor(a) principal: | |
---|---|
Data de Publicação: | 2021 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.3390/app112210948 http://hdl.handle.net/11449/229946 |
Resumo: | In many practical engineering situations, a source of vibrations may excite a large and flexible structure such as a ship’s deck, an aeroplane fuselage, a satellite antenna, a wall panel. To avoid transmission of the vibration and structure-borne sound, radial or polar periodicity may be used. In these cases, numerical approaches to study free and forced wave propagation close to the excitation source in polar coordinates are desirable. This is the paper’s aim, where a numerical method based on Floquet-theory and the FE discretision of a finite slice of the radial periodic structure is presented and verified. Only a small slice of the structure is analysed, which is approximated using piecewise Cartesian segments. Wave characteristics in each segment are obtained by the theory of wave propagation in periodic Cartesian structures and Finite Element analysis, while wave amplitude change due to the changes in the geometry of the slice is accommodated in the model assuming that the energy flow through the segments is the same. Forced response of the structure is then evaluated in the wave domain. Results are verified for an infinite isotropic thin plate excited by a point harmonic force. A plate with a periodic radial change of thickness is then studied. Free waves propagation are shown, and the forced response in the nearfield is evaluated, showing the validity of the method and the computational advantage compared to FE harmonic analysis for infinite structures. |
id |
UNSP_9d126f994cb42fc769394adfc9dd1469 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/229946 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Free and forced wave motion in a two-dimensional plate with radial periodicityFinite element analysisForced response of plates and shellsPeriodic structuresPolar coordinatesUnbounded structuresWave propagationIn many practical engineering situations, a source of vibrations may excite a large and flexible structure such as a ship’s deck, an aeroplane fuselage, a satellite antenna, a wall panel. To avoid transmission of the vibration and structure-borne sound, radial or polar periodicity may be used. In these cases, numerical approaches to study free and forced wave propagation close to the excitation source in polar coordinates are desirable. This is the paper’s aim, where a numerical method based on Floquet-theory and the FE discretision of a finite slice of the radial periodic structure is presented and verified. Only a small slice of the structure is analysed, which is approximated using piecewise Cartesian segments. Wave characteristics in each segment are obtained by the theory of wave propagation in periodic Cartesian structures and Finite Element analysis, while wave amplitude change due to the changes in the geometry of the slice is accommodated in the model assuming that the energy flow through the segments is the same. Forced response of the structure is then evaluated in the wave domain. Results are verified for an infinite isotropic thin plate excited by a point harmonic force. A plate with a periodic radial change of thickness is then studied. Free waves propagation are shown, and the forced response in the nearfield is evaluated, showing the validity of the method and the computational advantage compared to FE harmonic analysis for infinite structures.Dipartimento di Ingegneria e Architettura Università di ParmaDepartment of Materials and Production Aalborg UniversityDepartment of Mechanical Engineering UNESP-FEBDepartment of Mechanical Engineering UNESP-FEBUniversità di ParmaAalborg UniversityUniversidade Estadual Paulista (UNESP)Manconi, ElisabettaSorokin, Sergey V.Garziera, RinaldoQuartaroli, Matheus Mikael [UNESP]2022-04-29T08:36:46Z2022-04-29T08:36:46Z2021-11-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.3390/app112210948Applied Sciences (Switzerland), v. 11, n. 22, 2021.2076-3417http://hdl.handle.net/11449/22994610.3390/app1122109482-s2.0-85119905670Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengApplied Sciences (Switzerland)info:eu-repo/semantics/openAccess2024-06-28T13:55:00Zoai:repositorio.unesp.br:11449/229946Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:19:12.997957Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Free and forced wave motion in a two-dimensional plate with radial periodicity |
title |
Free and forced wave motion in a two-dimensional plate with radial periodicity |
spellingShingle |
Free and forced wave motion in a two-dimensional plate with radial periodicity Manconi, Elisabetta Finite element analysis Forced response of plates and shells Periodic structures Polar coordinates Unbounded structures Wave propagation |
title_short |
Free and forced wave motion in a two-dimensional plate with radial periodicity |
title_full |
Free and forced wave motion in a two-dimensional plate with radial periodicity |
title_fullStr |
Free and forced wave motion in a two-dimensional plate with radial periodicity |
title_full_unstemmed |
Free and forced wave motion in a two-dimensional plate with radial periodicity |
title_sort |
Free and forced wave motion in a two-dimensional plate with radial periodicity |
author |
Manconi, Elisabetta |
author_facet |
Manconi, Elisabetta Sorokin, Sergey V. Garziera, Rinaldo Quartaroli, Matheus Mikael [UNESP] |
author_role |
author |
author2 |
Sorokin, Sergey V. Garziera, Rinaldo Quartaroli, Matheus Mikael [UNESP] |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Università di Parma Aalborg University Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Manconi, Elisabetta Sorokin, Sergey V. Garziera, Rinaldo Quartaroli, Matheus Mikael [UNESP] |
dc.subject.por.fl_str_mv |
Finite element analysis Forced response of plates and shells Periodic structures Polar coordinates Unbounded structures Wave propagation |
topic |
Finite element analysis Forced response of plates and shells Periodic structures Polar coordinates Unbounded structures Wave propagation |
description |
In many practical engineering situations, a source of vibrations may excite a large and flexible structure such as a ship’s deck, an aeroplane fuselage, a satellite antenna, a wall panel. To avoid transmission of the vibration and structure-borne sound, radial or polar periodicity may be used. In these cases, numerical approaches to study free and forced wave propagation close to the excitation source in polar coordinates are desirable. This is the paper’s aim, where a numerical method based on Floquet-theory and the FE discretision of a finite slice of the radial periodic structure is presented and verified. Only a small slice of the structure is analysed, which is approximated using piecewise Cartesian segments. Wave characteristics in each segment are obtained by the theory of wave propagation in periodic Cartesian structures and Finite Element analysis, while wave amplitude change due to the changes in the geometry of the slice is accommodated in the model assuming that the energy flow through the segments is the same. Forced response of the structure is then evaluated in the wave domain. Results are verified for an infinite isotropic thin plate excited by a point harmonic force. A plate with a periodic radial change of thickness is then studied. Free waves propagation are shown, and the forced response in the nearfield is evaluated, showing the validity of the method and the computational advantage compared to FE harmonic analysis for infinite structures. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-11-01 2022-04-29T08:36:46Z 2022-04-29T08:36:46Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.3390/app112210948 Applied Sciences (Switzerland), v. 11, n. 22, 2021. 2076-3417 http://hdl.handle.net/11449/229946 10.3390/app112210948 2-s2.0-85119905670 |
url |
http://dx.doi.org/10.3390/app112210948 http://hdl.handle.net/11449/229946 |
identifier_str_mv |
Applied Sciences (Switzerland), v. 11, n. 22, 2021. 2076-3417 10.3390/app112210948 2-s2.0-85119905670 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Applied Sciences (Switzerland) |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129308737142784 |